Problema Solution

given the following set of number: (2,4,6,8,10...)

Which of the following statement is not true?

the sum of any two members of the set is a member of the set

the product of any two members of the set is a member of the set

the quotient of any two members of the set is a member of the set

the square of any number im the set is a member of the set

Answer provided by our tutors

note that (2,4,6,8,10,...) is set of all even Natural numbers.

- the sum of any two members of the set is a member of the set:  correct clause. Because sum of two even integers is even.

- the product of any two members of the set is a member of the set: correct clause. Because product of two even integers is even.

- the quotient of any two members of the set is a member of the set: incorrect clause. For example: 10/2 = 5 is a odd. 5 is not a member of the set.